IMC 2015 Q9
9. What is the value of \(p + q + r + s + t + u + v + w + x + y\) in the diagram?
- A 540
- B 720
- C 900
- D 1080
- E 1440
Intermediate Mathematical Challenge 2015, Question 9. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: B 720
The sum of the exterior angles of a convex polygon equals 360°. Therefore \(p + r + t + v + x = 360\)°. Similarly, \(q + s + u + w + y = 360\)°.
Therefore \(p + q + r + s + t + u + v + w + x + y = 720\)°.
Solution © UK Mathematics Trust, from the IMC 2015 solutions. Longer versions with investigations: Solutions and investigations (PDF).